421479072 has 192 divisors, whose sum is σ = 1415715840. Its totient is φ = 119501568.

The previous prime is 421479061. The next prime is 421479103. The reversal of 421479072 is 270974124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1372743 + ... + 1373049.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 2^421479072 is an apocalyptic number.

421479072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707857920).

421479072 is an abundant number, since it is smaller than the sum of its proper divisors (994236768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421479072 is a wasteful number, since it uses less digits than its factorization.

421479072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 421479072 is about 20529.9554797374. The cubic root of 421479072 is about 749.7653025638.

The spelling of 421479072 in words is "four hundred twenty-one million, four hundred seventy-nine thousand, seventy-two".